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4020016 = 2471113251
BaseRepresentation
bin1111010101011100110000
321120020102111
433111130300
52012120031
6222055104
746112110
oct17253460
97506374
104020016
1122a6330
12141a494
13aa9a10
14769040
155461b1
hex3d5730

4020016 has 80 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 1440000.

The previous prime is 4020011. The next prime is 4020017. The reversal of 4020016 is 6100204.

4020016 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

4020016 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 4019978 and 4020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15891 + ... + 16141.

Almost surely, 24020016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

4020016 is an abundant number, since it is smaller than the sum of its proper divisors (6479312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4020016 is a wasteful number, since it uses less digits than its factorization.

4020016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4020016 is about 2004.9977556097. The cubic root of 4020016 is about 159.0044432655.

The spelling of 4020016 in words is "four million, twenty thousand, sixteen".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 251 286 308 364 502 572 616 728 1001 1004 1144 1232 1456 1757 2002 2008 2288 2761 3263 3514 4004 4016 5522 6526 7028 8008 11044 13052 14056 16016 19327 22088 22841 26104 28112 35893 38654 44176 45682 52208 71786 77308 91364 143572 154616 182728 251251 287144 309232 365456 502502 574288 1005004 2010008 4020016